535993742592 has 1728 divisors, whose sum is σ = 2149153171200. Its totient is φ = 131139993600.

The previous prime is 535993742569. The next prime is 535993742617. The reversal of 535993742592 is 295247399535.

It is a happy number.

535993742592 is a `hidden beast` number, since 5 + 3 + 5 + 9 + 9 + 37 + 4 + 2 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13073018092 + ... + 13073018132.

It is an arithmetic number, because the mean of its divisors is an integer number (1243722900).

Almost surely, 2^535993742592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535993742592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074576585600).

535993742592 is an abundant number, since it is smaller than the sum of its proper divisors (1613159428608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

535993742592 is a wasteful number, since it uses less digits than its factorization.

535993742592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 93 counting only the distinct ones).

The product of its digits is 91854000, while the sum is 63.

The spelling of 535993742592 in words is "five hundred thirty-five billion, nine hundred ninety-three million, seven hundred forty-two thousand, five hundred ninety-two".